Analytical Solution of Generalized Bratu-Type Fractional Differential Equations Using the Homotopy Perturbation Transform Method
Abstract
:1. Introduction
Basic Definitions
2. Basic Homotopy Perturbation Transform Approach
3. Existence and Uniqueness of the Solution
4. Main Result
5. Convergence Analysis
6. Special Cases
7. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Alhamzi, G.; Gouri, A.; Alkahtani, B.S.T.; Dubey, R.S. Analytical Solution of Generalized Bratu-Type Fractional Differential Equations Using the Homotopy Perturbation Transform Method. Axioms 2024, 13, 133. https://doi.org/10.3390/axioms13020133
Alhamzi G, Gouri A, Alkahtani BST, Dubey RS. Analytical Solution of Generalized Bratu-Type Fractional Differential Equations Using the Homotopy Perturbation Transform Method. Axioms. 2024; 13(2):133. https://doi.org/10.3390/axioms13020133
Chicago/Turabian StyleAlhamzi, Ghaliah, Aafrin Gouri, Badr Saad T. Alkahtani, and Ravi Shanker Dubey. 2024. "Analytical Solution of Generalized Bratu-Type Fractional Differential Equations Using the Homotopy Perturbation Transform Method" Axioms 13, no. 2: 133. https://doi.org/10.3390/axioms13020133